2(c-3)=6c+4

Solution for 2(c-3)=6c+4 equation:

Simplifying
2(c + -3) = 6c + 4

Reorder the terms:
2(-3 + c) = 6c + 4
(-3 * 2 + c * 2) = 6c + 4
(-6 + 2c) = 6c + 4

Reorder the terms:
-6 + 2c = 4 + 6c

Solving
-6 + 2c = 4 + 6c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-6c' to each side of the equation.
-6 + 2c + -6c = 4 + 6c + -6c

Combine like terms: 2c + -6c = -4c
-6 + -4c = 4 + 6c + -6c

Combine like terms: 6c + -6c = 0
-6 + -4c = 4 + 0
-6 + -4c = 4

Add '6' to each side of the equation.
-6 + 6 + -4c = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -4c = 4 + 6
-4c = 4 + 6

Combine like terms: 4 + 6 = 10
-4c = 10

Divide each side by '-4'.
c = -2.5

Simplifying
c = -2.5